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If J#0, what is the value of J ?

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If J#0, what is the value of J ? [#permalink] New post 23 Jul 2012, 14:39
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A
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D
E

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If J\neq{0}, what is the value of J ?

(1) |J| = J^(-1)

(2) J^J = 1

[Reveal] Spoiler:
I was working in this problem

What is the value of integer J?

1. |J| = J^{-1}
2. J^J = 1

The answer is D, but I thought B could have two values, 0 and 1.
[Reveal] Spoiler: OA

Last edited by Bunuel on 29 Jun 2014, 03:32, edited 1 time in total.
Renamed the topic, edited the question, added the OA and moved to DS forum.
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Re: If J#0, what is the value of J ? [#permalink] New post 23 Jul 2012, 16:16
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0^0 is equal to 1 in most mathematical conventions, but not all. Therefore, you can expect that GMAT not to test the subject--it won't show up, and you won't be expected to know it!
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Re: If J#0, what is the value of J ? [#permalink] New post 02 Aug 2012, 02:06
GMAT never touches a topic which is not widely accepted. So, I dont think so that value of 0^0 will be the deciding factor in any GMAT Quant question.

Meanwhile, I made a search for the same in internet. Interesting read:

http://www.askamathematician.com/2010/1 ... -disagree/
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Re: If J#0, what is the value of J ? [#permalink] New post 09 Aug 2012, 03:34
Expert's post
ashish8 wrote:
I was working in this problem what-is-the-value-of-integer-j-1-j-j-1-2-j-j-81006.html. The answer is D, but I thought B could have two values, 0 and 1.


QUESTION YOU ARE TALKING ABOUT SHOULD READ:
If J\neq{0}, what is the value of J ?

(1) |J| = J^{-1}
(2) J^J = 1

Two reasons why should the stem state that J\neq{0}:
For statement (1) if J=0 then we'll have 0^{-1}=\frac{1}{0}=undefined. Remember you can't raise zero to a negative power.
For statement (2) if J=0 then we'll have 0^0. 0^0, in some sources equals to 1, some mathematicians say it's undefined. Anyway you won't need this for the GMAT because the case of 0^0 is not tested on the GMAT. So on the GMAT the possibility of 0^0 is always ruled out.

Also notice that saying in the stem that J is an integer is a redundant.

AS FOR THE SOLUTION:
If J\neq{0}, what is the value of J ?

(1) |J| = J^{-1} --> |J|*J=1 --> J=1 (here J can no way be a negative number, since in this case we would have |J|*J=positive*negative=negative\neq{1}). Sufficient.

(2) J^J = 1 --> again only one solution: J=1. Sufficient.

Answer: D.
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Re: If J#0, what is the value of J ? [#permalink] New post 09 Aug 2012, 07:28
Thank you Bunuel.... :-D :-D
Re: If J#0, what is the value of J ?   [#permalink] 09 Aug 2012, 07:28
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